20042145792 has 448 divisors, whose sum is σ = 63749529600. Its totient is φ = 6210846720.

The previous prime is 20042145791. The next prime is 20042145797. The reversal of 20042145792 is 29754124002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042145791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253698009 + ... + 253698087.

Almost surely, 2^20042145792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31874764800).

20042145792 is an abundant number, since it is smaller than the sum of its proper divisors (43707383808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20042145792 is an equidigital number, since it uses as much as digits as its factorization.

20042145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 20042145792 its reverse (29754124002), we get a palindrome (49796269794).

The spelling of 20042145792 in words is "twenty billion, forty-two million, one hundred forty-five thousand, seven hundred ninety-two".